# What is the LCM of 24 and 54?

LCM of 24 and 54 is the smallest number which divides both 24 and 54 exactly without a remainder.

## Answer: LCM of 24 and 54 is 216

## Explanation

For 24 and 54, the smallest number which would be perfectly divisible by them is their LCM which is 216. Let us see how to calculate it below:

Least Common Multiple of 24 and 54 is the smallest number that will divide 24 and 54 exactly.

### LCM of 24 and 54 by Common Division Method

Here we will divide the numbers 24 and 54 simultaneously with prime numbers until we don't have a prime number to further divide both 24 and 54.

So, by this method, we have LCM of 24 and 54 is 216

### LCM of 24 and 54 by Formula

The formula of LCM is LCM (a,b) = (a × b) / GCF (a,b)

The Greatest Common Factor of (24,54) = 6

Therefore, LCM of 24 and 54 = (24 × 54) / 6 = 1296 / 6 = 216

LCM of 24 and 54 = 216